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Aptitude · Q22

Compound Interest

Competitive Exams · Aptitude · question 22

Q22

If the compound interest on a sum of money for 3 years at the rate of 5% per annum is Rs. 252.20, the simple interest on the same sum at the same rate and for the same time is ?

A.
Rs. 220
B.
Rs. 240
Answer
C.
Rs. 245
D.
Rs. 250

Answer: Option B

Solution

Answer: Option B
Solution:
\begin{aligned} & {\text{Rate = 5% }} \\ & {\text{Time = 3 years}} \\ & {\text{Compound Interest Rs. 252}}{\text{.20}} \\ & {\text{Effective rate% of CI for 3 years}} \\ & {\text{ = 15}}{\text{.7625% }} \\ & {\text{Effective rate% of SI for 3 years}} \\ & {\text{ = 5}} \times {\text{3 = 15% }} \\ & {\text{Required SI }} \\ & {\text{ = }}\frac{{252.20}}{{15.7625}} \times 15 \\ & = 240 \\\end{aligned}